F(x) = -2x^2-4x+11
in the standard form
f(x) = a(x – h)^2+k

f(x) = - 2(x + 1)² + 13

Step-by-step explanation:

f(x) = - 2x² - 4x + 11

f(x) = a(x - h)² + k

a = - 2, b = - 4, c = 11

h = -

h = - = - 1

k = - 2( - 1)² - 4( - 1) + 11 = 13

f(x) = - 2(x + 1)² + 13

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

12

step-by-step explanation: